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\left(-2\right)^{3}-3^{3}+1
Multiply 2^{-3} and 2^{3} to get 1.
-8-3^{3}+1
Calculate -2 to the power of 3 and get -8.
-8-27+1
Calculate 3 to the power of 3 and get 27.
-35+1
Subtract 27 from -8 to get -35.
-34
Add -35 and 1 to get -34.